Tools City presents you with the best free online tool for calculating the volume of a cylinder, whether it is a Right or Oblique full cylinder or a curved cylinder.
Within clear & straightforward steps, you will be able to find the accurate value in calculating the volume of a cylinder. This tool will save you from complex and tiresome mathematics calculations.
However, if you want to try manually, you don't need to worry; we have also defined the formulas for different categories and simple examples so that you can easily understand them.
How can I use this tool?
- Choose the desired ‘Cylinder Type’ from the given dialogue box.
- Enter the values you already have.
- The tool is now ready to provide you with results.
You can change the measurement units:
- millimeters (mm)
- centimeters (cm)
- meters (m)
- kilometers (km)
- inches (in)
- feet (ft)
- yards (yd)
- miles (mi)
If you want to clear the results and entries to write other values, you can click on ‘Reset.’
How to calculate the volume of a cylinder?
It is pertinent to state here that to calculate the volume of a cylinder, you must know its definition.
A cylinder can be expressed as any solid figure with straight parallel sides and an oval cross-section—for example, Toilet paper rolls, plastic cold drink cans, gas cylinders, pipes.
The formula for measuring the volume of a cylinder is given below:
Cylinder Volume = π × Cylinder Radius × Cylinder Height
The two parameters, radius, and height are essential to know while calculating the volume of a cylinder.
However, the above formula is used for calculating the volume of a simple cylinder for the sake of understanding only.
The volume of a Hollow Cylinder
What is a Hollow Cylinder?
A cylinder that is empty on the inside and has a variation in radius between the internal and external radii is called Hollow Cylinder—for example, drinking straw, tubes, circular buildings.
What is the formula to calculate the volume of a Hollow Cylinder?
The formula for calculating the volume of a Hollow Cylinder is given below:
Cylinder Volume = π × h × (D2 - d2) / 4
Where:
h = Height of a Cylinder
D = Diameter of the External Cylinder
d = Diameter of the Internal Cylinder
Example:
If the height of a Hollow Cylinder is 5 cm, its external diameter is 2.3 cm, and its internal diameter is 2 cm, then calculate its volume.
The formula that we will use here is:
Cylinder Volume = π × h × (D2 - d2) / 4
By putting the values given:
V = 3.14 × 5 × ((2.3)2 – (2)2) / 4
V = 15.7 (5.29-4) / 4
V = 20.253 / 4
V = 5.06 cm3
Volume of an Oblique full Cylinder
What is an Oblique full Cylinder?
A cylinder whose two ends are not directly aligned to each other is known as a Right or Oblique Cylinder.
The ends of an oblique cylinder are parallel to each other, but the sides bend over at an angle that is not 90°. If they are at right angles to the ends, it is pointed to as a right cylinder. The most common example of an oblique cylinder is a soup can.
What is the formula to calculate the volume of a Right / Oblique full Cylinder?
The formula that is used to calculate the volume of an Oblique full Cylinder is:
Cylinder Volume = π × h × r2
Where
h = Height of the Cylinder
r = Radius of the Cylinder
Example:
If the height of a soup can is 8 cm and its diameter is 5 cm, then what will be its volume.
As we can estimate that a soup can is an oblique cylinder, therefore, we will use the volume formula for an oblique cylinder:
Cylinder Volume = π × h × r2
V = 3.14 × 8 × 52
V = 25.12 × 25
V = 628 cm3